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Color X ink is created by blending red, blue, green, and yellow inks

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felippemed
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Color X ink is created by blending red, blue, green, and yellow inks [#permalink] New post  13 Sep 2016, 11:26
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Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink?

(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.

(2) The batch consists of 30 liters of color X ink.


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sayan640
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Re: Color X ink is created by blending red, blue, green, and yellow inks [#permalink] New post  04 Aug 2019, 14:22
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felippemed wrote:
Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink?

(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.

(2) The batch consists of 30 liters of color X ink.



Let the number of liters of red ink be = 6*x
blue ink be = 5*x
green ink be = 2*x
yellow ink be = 2*x
Statement 1 says , 6*x - 5*x = 2
x = 2
So the number of liters of green ink = 2 *2 = 4 liters

Statement 2 says , 15 *x = 30
x = 2
So the number of liters of green ink = 2 *2 = 4 liters

Each statement is sufficient.
Option D is the answer.

Please give me KUDOs if you liked my explanation.
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Senthil1981
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Re: Color X ink is created by blending red, blue, green, and yellow inks [#permalink] New post  13 Sep 2016, 11:58
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felippemed wrote:
Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink?

(I) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.

(II) The batch consists of 30 liters of color X ink.


Given Red : Blue : Green : Yellow = 6:5:2:2

1) Red - Green = 2, so ratio is 6:5 for 15 litres, so for 2 litres difference it has to be 30 litres.
Sufficient , A or D
2) Total is 30 litres in the ratio of 6:5:2:2
Sufficient . Hence D
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Re: Color X ink is created by blending red, blue, green, and yellow inks [#permalink] New post  26 Jul 2019, 08:46
can anyone pls explain the 1st statement ?
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kgmat12
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Re: Color X ink is created by blending red, blue, green, and yellow inks [#permalink] New post  24 Jan 2020, 08:17
But the stem doesnot specify the number of liters of the "certain batch of X" how can we say 4 liters in correct in Statement 1?
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Re: Color X ink is created by blending red, blue, green, and yellow inks [#permalink] New post  24 Nov 2020, 11:44
felippemed wrote:
Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink?

(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.

(2) The batch consists of 30 liters of color X ink.


(1) The red ink is 2 more liters than the blue ink. Since the ratio of red:blue is 6:5 we can conclude that 12 liters of red was used.

Since the ratio of red:green is 6:2, we can then conclude 4 liters of green was used.

SUFFICIENT.

(2) Since we're given the ratio 6:5:2:2, and the total is 30 liters of color X, we can conclude 4 liters of green was used.

SUFFICIENT.

Answer is D.
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Re: Color X ink is created by blending red, blue, green, and yellow inks [#permalink] New post  21 Feb 2021, 01:10
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felippemed wrote:
Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink?

(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.

(2) The batch consists of 30 liters of color X ink.



R:B:G:Y=6:5:2:2

R:B:G:Y=6X:5X:2X:2X

(1) 6X=5X+2; Sufficeint.

(2) 6X+5X+2X+2X=30; Sufficient.

The answer is D
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Re: Color X ink is created by blending red, blue, green, and yellow inks [#permalink] New post  09 Jul 2023, 07:54
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Re: Color X ink is created by blending red, blue, green, and yellow inks [#permalink]
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